GATE & PSUs - Civil Engineering (CE)

Leveling & Curvature/Refraction Corrections question bank (Surveying & Geomatics)

Practice 7 free GATE & PSUs - Civil Engineering (CE) Surveying & Geomatics - Leveling & Curvature/Refraction Corrections questions with answers and step-by-step solutions.

Start free Book a demo

All Hard Medium

Q1.

[Leveling & Curvature/Refraction Corrections Concept 7] The matrix $A = \begin{pmatrix} 2 & 1 \\ 1 & 2 \end{pmatrix}$ has eigenvalues $\lambda_1$ and $\lambda_2$. What are the eigenvalues of the matrix $A^3 - 2A + I$?

(A)

$22$ and $0$

(B)

$8$ and $1$

(C)

$27$ and $1$

(D)

$24$ and $2$

Show answer & solution

Verified Answer & Solution Locked

Q2.

[Leveling & Curvature/Refraction Corrections Concept 17] The matrix $A = \begin{pmatrix} 2 & 1 \\ 1 & 2 \end{pmatrix}$ has eigenvalues $\lambda_1$ and $\lambda_2$. What are the eigenvalues of the matrix $A^3 - 2A + I$?

(A)

$22$ and $0$

(B)

$8$ and $1$

(C)

$27$ and $1$

(D)

$24$ and $2$

Show answer & solution

Verified Answer & Solution Locked

Protected Questions

Unlock All 3 Questions in Leveling & Curvature/Refraction Corrections

Log in or sign up free to access every question with complete solutions, create chapter practice tests, and track your performance.

Sign up free to access all 3 questions

Unlock every Leveling & Curvature/Refraction Corrections question, generate papers, and practice at your own pace.

Start free